65949984 has 96 divisors (see below), whose sum is σ = 197648640. Its totient is φ = 21378816.

The previous prime is 65949907. The next prime is 65949991. The reversal of 65949984 is 48994956.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 65949984.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30937 + ... + 32999.

It is an arithmetic number, because the mean of its divisors is an integer number (2058840).

Almost surely, 2^65949984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65949984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98824320).

65949984 is an abundant number, since it is smaller than the sum of its proper divisors (131698656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65949984 is a wasteful number, since it uses less digits than its factorization.

65949984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2105 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 65949984 is about 8120.9595492158. The cubic root of 65949984 is about 404.0218920921.

The spelling of 65949984 in words is "sixty-five million, nine hundred forty-nine thousand, nine hundred eighty-four".